111202edo

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← 111201edo 111202edo 111203edo →
Prime factorization 2 × 7 × 132 × 47
Step size 0.0107912 ¢ 
Fifth 65049\111202 (701.955 ¢)
(convergent)
Semitones (A1:m2) 10535:8361 (113.7 ¢ : 90.22 ¢)
Consistency limit 9
Distinct consistency limit 9

The 111202edo divides the octave into 111202 equal parts of 0.0108 cents each. It is the denominator of the next convergent for log23 past 79335, before 190537.

Theory

111202edo has a consistency limit of only 9, and is a strong 5-limit system, with additional strengths in the 2.3.5.17.19.23 subgroup.


Approximation of prime harmonics in 111202edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00000 -0.00000 -0.00052 -0.00520 +0.00308 -0.00321 -0.00046 -0.00038 -0.00147 -0.00219 +0.00498
Relative (%) +0.0 -0.0 -4.8 -48.2 +28.5 -29.8 -4.3 -3.5 -13.7 -20.3 +46.2
Steps
(reduced)
111202
(0)
176251
(65049)
258203
(35799)
312183
(89779)
384696
(51090)
411496
(77890)
454534
(9726)
472378
(27570)
503029
(58221)
540217
(95409)
550917
(106109)